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Finding the Fourth Proportional to 22,183.20, 30,620.16 and 13,233.60

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Solution

The fourth proportional to 22,183.20, 30,620.16 and 13,233.60 is: 18,266.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,183.20 : 30,620.16 = 13,233.60 : x
  2. Step 2: Convert to fraction form
    22,183.20/30,620.16 = 13,233.60/x
  3. Step 3: Cross multiply
    22,183.20x = 30,620.16 × 13,233.60
  4. Step 4: Simplify right side
    22,183.20x = 405,214,949.38
  5. Step 5: Solve for x
    x = 405,214,949.38/22,183.20
  6. Step 6: Final answer
    x = 18,266.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.